An angle θ satisfies the relation csc θ cos θ = -1.

A) Use the definition of the reciprocal trigonometric ratios to express the left side in terms of sin θ and cos θ.

B) What is the relation between sin θ and cos θ for this angle?

C) Determine two possible values for θ.

- Please help me with this question, I have no clue where to start as my teacher never taught us something like this!

1 answer

cscθ cosθ = -1
1/sinθ cosθ = -1
cosθ/sinθ = -1

as with any angle,
cos^2θ + sin^2θ = 1
In this case,
cosθ = -sinθ

tanθ = -1
θ = 3π/4 or 7π/4

No idea at all? Hmmm. I cannot believe that the question was assigned, yet the material never taught!!!???

And have you never heard of google?